Question

if the areas of two similar triangle are equal , prove that they are congruent.

Answer 1

simple
if the two triangles are equal then the lines are also equal. so by sss rule are congruent

Answer 2

Step-by-step explanation:

Solution :-

• ΔABC ~ ΔPQR

ar(ΔABC)/ar(ΔPQR) = (AB/PQ)² = (BC/QR)² = (AC/PR)²

• ar(ΔABC)/ar(ΔPQR) = 1

(∵ areas are equal)

• AB² = PQ²
• BC² = QR²
• AC² = PR²

AB = PQ

BC = QR

AC = PR

∴ ΔABC ≅ ΔPQR (SSS congruency)